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Finding the Fourth Proportional to 1,294.08, 1,784.40 and 961.44

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Solution

The fourth proportional to 1,294.08, 1,784.40 and 961.44 is: 1,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.08 : 1,784.40 = 961.44 : x
  2. Step 2: Convert to fraction form
    1,294.08/1,784.40 = 961.44/x
  3. Step 3: Cross multiply
    1,294.08x = 1,784.40 × 961.44
  4. Step 4: Simplify right side
    1,294.08x = 1,715,593.54
  5. Step 5: Solve for x
    x = 1,715,593.54/1,294.08
  6. Step 6: Final answer
    x = 1,325.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.